1428664640 has 112 divisors (see below), whose sum is σ = 3742163712. Its totient is φ = 516212736.

The previous prime is 1428664631. The next prime is 1428664673. The reversal of 1428664640 is 464668241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191867 + ... + 199173.

It is an arithmetic number, because the mean of its divisors is an integer number (33412176).

Almost surely, 2^1428664640 is an apocalyptic number.

1428664640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871081856).

1428664640 is an abundant number, since it is smaller than the sum of its proper divisors (2313499072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1428664640 is a wasteful number, since it uses less digits than its factorization.

1428664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384 (or 7374 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The square root of 1428664640 is about 37797.6803521063. The cubic root of 1428664640 is about 1126.2723750514.

The spelling of 1428664640 in words is "one billion, four hundred twenty-eight million, six hundred sixty-four thousand, six hundred forty".